The position vector of a particle R as a function of time i…

Physics Motion in a Plane NEET Previous Year Question MCQ (Single Correct)

The position vector of a particle R as a function of time is given by

where R is in metre, t is in seconds and and denote unit vectors along x and y-directions, respectively.

Which one of the following statements is wrong for the motion of particle?

Acceleration is along - R

Magnitude of acceleration vector is

, where

is the velocity of particle

Magnitude of the velocity of particle is

Path of the particle is a circle of radius 4 m

Text Solution

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The correct answer is:

(i) The position vector of a particle R as a function of time is given by

X-axis component, … (i)
Y-axis component,

… (ii)

Squaring and adding both equations, we get

equation of circle and radius is 4 m.
(ii) Acceleration vector, , while is velocity of a particle.
(iii) Magnitude of acceleration vector,

(iv) As, we have

and
Net resultant velocity,

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